GEOMETRIC PROPERTIES OF EINSTEINS LAW OF ADDITION OF VELOCITIES AND QUATERNIONIC LAW OF ADDITION
2012jwq | Ahmad Mushfiq  // Rajshahi University, Rajshahi, Bangladesh, mushfiqahmad@gmail.com

If velocities u and v add up to give w. The three velocities form a triangle. The same velocities, but in the opposite direction, -v and -u should add up to give -w. Isotropy of space requires that the reversal of direction should reverse the order of addition - -v should come before -u. Lorentz Einstein addition does not fulfill this requirement and Wigner rotation in invoked to correct it. Reciprocal symmetric transformation, we are proposing, maintains the isotropy of space and Wigner rotation is not needed.

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